Spaces of Quasi-Periodic Functions and Oscillations in Differential Equations

J. Blot and D. Pennequin

Papiers d'Economie Mathématique et Applications from Université Panthéon-Sorbonne (Paris 1)

Abstract: We build spaces of q.p. (quasi-periodic) functions and we establich some of their properties. They are motivated by the Perceival approach to q.p. solutions of Hamiltonian systems. The periodic solutions of an adequat Partial Differential Equation are related to the q.p. solutions of an Ordinar Differential Equation. We use this approach to obtain some regularization theorems of weak q.p. solutions of differential equations.

Keywords: DIFFERENTIAL EQUATIONS; MATHEMATICAL ANALYSIS (search for similar items in EconPapers)
JEL-codes: C00 C60 (search for similar items in EconPapers)
Pages: 39 pages
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:fth:pariem:1999.74

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